We will explore without including peak power levels: No Dark Phoenix, WW-Hulk, Rune Thor, etc, because those events are generally one-time or seldom event that occur. Yeah yeah it's nice to talk about their upper-peak potential of breaking apart planets, laying out other multiple top-tier elite characters, and taking out Sky-Fathers but it's not the norm for them and never will be.

Also let's try to keep popularity bias out of the picture shall we?

The *GUYS* won in Polygamist's initial presentation match-up quite easily by a landslide IMHO.

My goal here is to see if I can turn the tables realistically (if that's possible by pairing up good match-ups) giving the *GALS* their turn in the sun.

Let's GO!

Quasar vs. Captain Marvel - These two match-up well I think. Captain Marvel possesses super strength, flight, superhuman speed/durability/ reflexes/agility along with photon and stellar light energy blasts. She also has energy absorption and regenerative healing ability in her arsenal. Wendell wields the Quantum bands that enables him to tap into an unlimited energy reserve (Quantom Zone). Without getting into much detail about his capabilities, Quasar's attributes are on the same level as Carol. I equate some of his abilities to Green Lantern but the big difference is he can siphon energy from just about any energy source and turn it against his opponent giving him the win over Captain Marvel.
Win - Quasar

Surfer vs. Phoenix - This is a tough fight here. The only reason I chose Norrin to fight her over everyone else is because he's the best match-up against her. We all know how versatile a weapon the power cosmic is and there's no other female on the Gals list who can challenge Norrin IMHO (also Phoenix is truly at home in the cosmos). Jean took down Firelord another herald decisively without too much effort when he was single-handedly taking out the entire team of the X-men. Surfer is in trouble.
Win - Jean

Wonderwoman vs. Thor - I wanted to go with a different match-up for these two but they are a match made in heaven--God vs. Goddess, Prince vs. Princess, warrior vs. warrior. WW is non-arguably physically the top-tier female in both the Marvel and DC universe. She has gone toe-to-toe against Superman, can take an enormous amount of punishment, possesses flight, is trained as a skilled warrior, carries an unbreakable magic lasso, enhanced speed and reflexes, and bracelets that are used for both offensive and defensive capabilities. Thor on the other hand at the very least matches all of Diana's physical attributes and he's been a skilled warrior far longer fighting galactic/cosmic threats around the universe. While Diana won't go down easily Thor using a combo of Mjolnir's various powers (he also has the advantage of striking her from a further distance than she can) combined with the powers of the storm are too much for her to overcome in the end.
Win - Thor

Hulk vs. Moondragon - Hear me out here. Most on this forum will probably not be fond of me after what I write here, but what else is new? That's probably already the case so what do I have to lose? Believe it or not, this is a better match-up than it appears on paper. But for some of you will be difficult to sell. Out of the remaining Gals Polygamist originally introduced in this battle of the sexes, none of them has a chance against the Hulk after Jean and perhaps WW but they are both occupied at the moment against elite opponents of their own. Then I thought, is there another female out there in the MU who could be a true threat to the green giant? Enter Moondragon--while Heather doesn't possess the physical tools to slow the Hulk down, those aren't her bread and butter to begin with. Very few have the strength/stamina/durability to stand up to the Hulk but many have succeed in mentally taking control of his mind. In the past Moondragon has exhibited tremendous telepathic abilities. She once seized mental control of an entire alien world while concurrently telepathically controlling Thor to do her bidding. Hulk has no telepathic shields to guard his mind and if Moondragon strikes, especially if Hulk is in a calm state, she instantly gains control over him and can use him against the Guys. Anna is someone I hope you don't sell short here. She's capable of taking down any one of the Guys one-on-one.
Win - Moondragon

Iron Man vs. She-Hulk- Now things start to get interesting in trying to pair the remaining contestants off into competitive matches. Iron Man is a real problem here and only Jennifer (of the remaining Gals) has a legitimate chance to answer the call. Yes I'm well aware of Stark's super genius, the wide array of weapons (long range ones at that) at his disposal. But something tells me She-Hulk's immense super-human durability/healing factor can handle a lot of what is dished out. But in the end I just can't see it happening. Stark is too smart and Jennifer has too many limitations.
Win - Iron Man

Superman vs. Rogue (my wildcard) - The only question we must ask each other is this: Can Rogue absorb Clark's powers like Parasite can? If Anna can, and I don't really see why she would be unable to--she will attain all of Clark's powers and abilities. Considering these two have never met before and Clark's propensity for not wanting to engage against the opposite sex, I envision Rogue taking full advantage of the opportunity. After she's drained Clark, if she's smart (and she is, like in her Avengers debut) is to go after another big-gun on the Guys team to absorb either Thor or Hulk powers. Rogue is my wildcard and really helps tilts the favor for the Gals because she matches up well against Thor, Supes, or Hulk.
Win - Rogue

Storm vs. Spiderman, Wolverine, or Thing.
Ororo - Wins

Scarlet Witch vs. Spiderman
Parker -Wins

Invisible Woman vs. Spiderman/Wolvie- Can go either way. But I don't see how Parker can break Sue's defensive force-fields before she envelops him in one of her own. Against Logan, Sue should be able to use various techniques to stop Logan. Use an invisible platform to raise him to a great height and then let him fall, cut off his oxygen supply, etc.
Sue-Wins

Here’s my logic on this.
If you’re talking about this battle in a comic book then they would match up well and battle each other with both sides winning a few matches and going on to the next round.
That’s in a comic book, where an interesting fight is necessary to sell books and make money.

Now if you have a real battle with the powers of each hero. No names, just individuals with their powers – it’s almost no contest.

If you look at any neutral, unbiased list of the 25 most powerful superheroes you will see that the women’s team has two members on those lists.
# 14 - Wonder Woman
# 19 – Phoenix

The men’s team has at least 7 members on the top 25 of all time.
Including numbers 1, 2 and 3 – Thor, Silver Surfer and Superman.
Also on the lists are, Hulk – Quasar – Ironman – Wolverine

In an actual, all out battle – numbers 1, 2 and 3 have enough power to destroy the planet very quickly.
The only 2 on the women’s team that have a chance to survive their initial blasts would be Wonder Woman and Phoenix – the rest would be dead almost immediately – including half of the men’s team.

My point is that, in a comic book it would be a good battle that would last a while, with members from each team winning match ups.

However, if you look at the individuals and what they’re actually capable of – at NORMAL levels – it becomes no contest.
Thor has produced instant worldwide storms that most of the women couldn’t possibly survive. The Surfer and Superman have shown similar levels of EP. Plus they have Quasar – Ironman and the Hulk.
If it’s not in a comic book to make money, then it’s not even a close battle.

A more even battle would have been:
# 1 – Don’t give the men the Silver Surfer – that’s just overkill.
# 2 – Instead of Moondragon and Rogue, give the women a few Eternals, who could survive powerful attacks – such as Sersi and Athena.

Then the women would have 4 members who could actually survive the initial attacks of – non holding back – Thor, Superman and Quasar.